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------------------------------------------------ Which lathe component has a graduated rule for measuring the movement of a cutting tool into a workpiece?

A. Spindle
B. Tailstock sleeve
C. Quick-change gearbox
D. Lathe bed

The lathe component that features a graduated rule for measuring the movement of a cutting tool into a workpiece is the tailstock sleeve. This allows for precise adjustments and measurements crucial for machining accuracy. Other components such as the spindle and lathe bed do not serve this function.

Explanation:

Lathe Component for Measuring Tool Movement

When operating a lathe, the component that has a graduated rule for measuring the movement of a cutting tool into a workpiece is the tailstock sleeve. This component allows the user to adjust and measure the depth of cut, which is crucial for precision machining.

The tailstock sleeve can be moved closer to or further from the workpiece, and it typically features a scale or graduated rule to help the operator gauge the exact distance the cutting tool advances into the material. This is important for achieving accurate dimensions and desired tolerances in the machined part.

In contrast, other components mentioned such as the spindle, quick-change gearbox, and lathe bed do not provide a graduated rule for direct measurement of the cutting depth.

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